Group GAP4(96,123)
Name: (C8 x S3) : C2
Maximal quotients:GAP4(32,42) GAP4(48,38)
Real polynomial:
x^96-552*x^94+143676*x^92-23512800*x^90+2721588480*x^88-237617423856*x^86+16\
294899630672*x^84-902334892700736*x^82+41163362336646180*x^80-15703199022745\
02240*x^78+50675696628420450240*x^76-1395891135444339982080*x^74+33053934222\
679900098240*x^72-676625520761057826979200*x^70+12026542020874041469975200*x\
^68-186244184245813747690648320*x^66+2519354617015352089298127840*x^64-29823\
204884171785290079125120*x^62+309302137260934778005123176000*x^60-2811991887\
750234584229425568000*x^58+22409623335300618115184212419840*x^56-15645384922\
5320879303982697639680*x^54+955800012724039544654594082896640*x^52-510065662\
1829639148033343601177600*x^50+23722127443007612784454122657288000*x^48-9586\
6077486264576045978948151021056*x^46+335411912903339862617041463428749312*x^\
44-1011550062209478832691414155113440256*x^42+261591748326504281659902100380\
1382400*x^40-5765230454920636194841107354541332480*x^38+10750713939311153244\
508431127454962176*x^36-16820571193981093030743261292539635712*x^34+21867280\
601061508347336908756900461056*x^32-23356289245403232503612664051442452480*x\
^30+20231651816283457690811565259445591040*x^28-1400333840056978480678227645\
8925158400*x^26+7615694097743722624107891942298675200*x^24-31939886309903056\
98263055942544896000*x^22+1012114443906904976531653499988480000*x^20-2371299\
06780646549883193483095040000*x^18+40174360237397932229297836690560000*x^16-\
4811704498207187740062624844800000*x^14+397226943748848572883596160000000*x^\
12-21861701359116740563198464000000*x^10+761653011123988073442432000000*x^8-\
15266692796909410920960000000*x^6+140949824222907930240000000*x^4-2255452678\
13644800000000*x^2+48570306177600000000
Common denominator of the automorphisms:
5724240054553146546966020858735870821625762020905834826428863594170226203509\
9216410355110277453993053598914472506575569489236234095095289346054529767785\
8649094864851045548490134468319364899169546799744872712388559577571969480117\
9173649477418494681678478541469125194114013356060864105521243520359719022563\
8400000000
Complex polynomial:
x^96+2773419264*x^72+197254264283136*x^48+74532469928361984*x^24+72220413630\
8736
Common denominator of the automorphisms:
4772365376159760777216000
Database of Galois polynomials by Bill Allombert and Igor Schein.
Last Modified: Sat, 16 Jun 2018 12:23:16 +0200
Copyleft © 2002-2008 the PARI group.